7(x-1)=2(3x+1)

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Solution for 7(x-1)=2(3x+1) equation:


Simplifying
7(x + -1) = 2(3x + 1)

Reorder the terms:
7(-1 + x) = 2(3x + 1)
(-1 * 7 + x * 7) = 2(3x + 1)
(-7 + 7x) = 2(3x + 1)

Reorder the terms:
-7 + 7x = 2(1 + 3x)
-7 + 7x = (1 * 2 + 3x * 2)
-7 + 7x = (2 + 6x)

Solving
-7 + 7x = 2 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-7 + 7x + -6x = 2 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-7 + 1x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + 1x = 2 + 0
-7 + 1x = 2

Add '7' to each side of the equation.
-7 + 7 + 1x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 2 + 7
1x = 2 + 7

Combine like terms: 2 + 7 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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